13001320033 has 8 divisors (see below), whose sum is σ = 14005884200. Its totient is φ = 11997393408.

The previous prime is 13001320021. The next prime is 13001320037. The reversal of 13001320033 is 33002310031.

It can be written as a sum of positive squares in 4 ways, for example, as 4786979344 + 8214340689 = 69188^2 + 90633^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13001320033 - 2⁵ = 13001320001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001319989 and 13001320016.

It is not an unprimeable number, because it can be changed into a prime (13001320037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116598 + ... + 198991.

It is an arithmetic number, because the mean of its divisors is an integer number (1750735525).

Almost surely, 2^13001320033 is an apocalyptic number.

13001320033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13001320033 is a deficient number, since it is larger than the sum of its proper divisors (1004564167).

13001320033 is a wasteful number, since it uses less digits than its factorization.

13001320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318771.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13001320033 its reverse (33002310031), we get a palindrome (46003630064).

The spelling of 13001320033 in words is "thirteen billion, one million, three hundred twenty thousand, thirty-three".